So you have the same problem with both a wireless connection and a hard-wired connection and this has only happened since you moved?
A few things come to mind:
Your new address may be at the limit of distance from your local exchange for a decent broadband connection. click here enter your POSTCODE only; click 'Check!' and click 'BT ADSL' to find your distance from the exchange.
The copper wiring into (or in) the house may be old and knackered. Ask BT to do a line check.
The local contention ratio may be higher than at your previous address.